Parameterized Tractability of the Maximum-Duo Preservation String Mapping Problem [article]

Stefano Beretta, Mauro Castelli, Riccardo Dondi
<span title="2015-12-10">2015</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In this paper we investigate the parameterized complexity of the Maximum-Duo Preservation String Mapping Problem, the complementary of the Minimum Common String Partition Problem. We show that this problem is fixed-parameter tractable when parameterized by the number k of conserved duos, by first giving a parameterized algorithm based on the color-coding technique and then presenting a reduction to a kernel of size O(k^6 ).
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